Least Common Multiple (LCM) of 179 and 93
The least common multiple (LCM) of 179 and 93 is 16647.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 179 and 93?
First, calculate the GCD of 179 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 93 = 1 remainder 86 |
| 2 | 93 ÷ 86 = 1 remainder 7 |
| 3 | 86 ÷ 7 = 12 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 34 | 2414 |
| 171 and 183 | 10431 |
| 109 and 131 | 14279 |
| 145 and 14 | 2030 |
| 48 and 48 | 48 |